12613737201516 has 360 divisors, whose sum is σ = 37511809695360. Its totient is φ = 3689395776000.

The previous prime is 12613737201511. The next prime is 12613737201529. The reversal of 12613737201516 is 61510273731621.

12613737201516 is a `hidden beast` number, since 1 + 2 + 61 + 3 + 7 + 3 + 72 + 0 + 1 + 516 = 666.

It is not an unprimeable number, because it can be changed into a prime (12613737201511) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 472747696 + ... + 472774376.

It is an arithmetic number, because the mean of its divisors is an integer number (104199471376).

Almost surely, 2^{12613737201516} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12613737201516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18755904847680).

12613737201516 is an abundant number, since it is smaller than the sum of its proper divisors (24898072493844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12613737201516 is a wasteful number, since it uses less digits than its factorization.

12613737201516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27139 (or 27117 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 12613737201516 in words is "twelve trillion, six hundred thirteen billion, seven hundred thirty-seven million, two hundred one thousand, five hundred sixteen".